The 1 → 3 massive splitting functions from QCD factorization and SCET
Splitting functions are universal functions describing the collinear dynamics of gauge theories, and as such are crucial ingredients for a wide variety of calculations in perturbative QCD. We present analytic results for the triple collinear splitting functions in QCD with a single massive parton. W...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Springer Science and Business Media LLC
2024
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| Online Access: | https://hdl.handle.net/1721.1/155694 |
| _version_ | 1811078001707712512 |
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| author | Craft, Evan Gonzalez, Mark Lee, Kyle Meçaj, Bianka Moult, Ian |
| author_facet | Craft, Evan Gonzalez, Mark Lee, Kyle Meçaj, Bianka Moult, Ian |
| author_sort | Craft, Evan |
| collection | MIT |
| description | Splitting functions are universal functions describing the collinear dynamics of gauge theories, and as such are crucial ingredients for a wide variety of calculations in perturbative QCD. We present analytic results for the triple collinear splitting functions in QCD with a single massive parton. We derive the splitting functions using two distinct methods; first by expanding the squared matrix elements in the collinear limit, and secondly by using soft-collinear effective theory with massive quarks. We find agreement between these two approaches, providing a strong check of our results. Additionally, we also check all iterated and soft limits of our results, finding agreement with predictions from factorization. Our results provide an important ingredient for higher order perturbative calculations involving massive partons, and for the description of the collinear dynamics of heavy flavor jets. |
| first_indexed | 2024-09-23T10:51:50Z |
| format | Article |
| id | mit-1721.1/155694 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:51:50Z |
| publishDate | 2024 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1556942024-07-18T03:39:45Z The 1 → 3 massive splitting functions from QCD factorization and SCET Craft, Evan Gonzalez, Mark Lee, Kyle Meçaj, Bianka Moult, Ian Splitting functions are universal functions describing the collinear dynamics of gauge theories, and as such are crucial ingredients for a wide variety of calculations in perturbative QCD. We present analytic results for the triple collinear splitting functions in QCD with a single massive parton. We derive the splitting functions using two distinct methods; first by expanding the squared matrix elements in the collinear limit, and secondly by using soft-collinear effective theory with massive quarks. We find agreement between these two approaches, providing a strong check of our results. Additionally, we also check all iterated and soft limits of our results, finding agreement with predictions from factorization. Our results provide an important ingredient for higher order perturbative calculations involving massive partons, and for the description of the collinear dynamics of heavy flavor jets. 2024-07-17T14:52:42Z 2024-07-17T14:52:42Z 2024-07-09 2024-07-14T03:17:13Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 https://hdl.handle.net/1721.1/155694 Craft, E., Gonzalez, M., Lee, K. et al. The 1 → 3 massive splitting functions from QCD factorization and SCET. J. High Energ. Phys. 2024, 80 (2024). PUBLISHER_CC en 10.1007/jhep07(2024)080 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Science and Business Media LLC Springer Berlin Heidelberg |
| spellingShingle | Craft, Evan Gonzalez, Mark Lee, Kyle Meçaj, Bianka Moult, Ian The 1 → 3 massive splitting functions from QCD factorization and SCET |
| title | The 1 → 3 massive splitting functions from QCD factorization and SCET |
| title_full | The 1 → 3 massive splitting functions from QCD factorization and SCET |
| title_fullStr | The 1 → 3 massive splitting functions from QCD factorization and SCET |
| title_full_unstemmed | The 1 → 3 massive splitting functions from QCD factorization and SCET |
| title_short | The 1 → 3 massive splitting functions from QCD factorization and SCET |
| title_sort | 1 3 massive splitting functions from qcd factorization and scet |
| url | https://hdl.handle.net/1721.1/155694 |
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